(a) Sketch the following signal a[n]: 0, Jan ={ on(in) snst else (3 points) (9) (b)...

 

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(a) Sketch the following signal a[n]: 0, Jan ={ on(in) snst else (3 points) (9) (b) Is this signal (i) even, (ii), odd, (iii) neither? Clearly state your reasons. (2 points) (c) Prove that for any signal x(t), r,(t) = {x(t) + x(t)} is an even signal, and x,(t)=(x(t)-(-t)} is an odd signal. (5 points) (a) Sketch the following signal a[n]: 0, Jan ={ on(in) snst else (3 points) (9) (b) Is this signal (i) even, (ii), odd, (iii) neither? Clearly state your reasons. (2 points) (c) Prove that for any signal x(t), r,(t) = {x(t) + x(t)} is an even signal, and x,(t)=(x(t)-(-t)} is an odd signal. (5 points)